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Popular Calculus Problems

y^'=2+3y^2	y^{\prime\:}=2+3y^{2}
derivative of (x/(x+1)^{2016})	\frac{d}{dx}((\frac{x}{x+1})^{2016})
integral of 1/(P-Z)+1/Z	\int\:\frac{1}{P-Z}+\frac{1}{Z}dZ
sum from n=1 to infinity of (3n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{3n}{n!}
integral of csc^3(x)*sec(x)	\int\:\csc^{3}(x)\cdot\:\sec(x)dx
integral of (x^2+ax-3)^2	\int\:(x^{2}+ax-3)^{2}dx
integral from 0 to 1 of 2x^2-1	\int\:_{0}^{1}2x^{2}-1dx
(d^2)/(dx^2)((x+1)e^x)	\frac{d^{2}}{dx^{2}}((x+1)e^{x})
sum from n=1 to infinity of sin(pin)	\sum\:_{n=1}^{\infty\:}\sin(πn)
integral of x/(1+9x^4)	\int\:\frac{x}{1+9x^{4}}dx
d/(dz)(i/(2i)ln((i+iz)/(i-iz)))	\frac{d}{dz}(\frac{i}{2i}\ln(\frac{i+iz}{i-iz}))
derivative of csc^4(tan(e^{2x}))	\frac{d}{dx}(\csc^{4}(\tan(e^{2x})))
derivative of y=2x^3+3x^2-12x+1	derivative\:y=2x^{3}+3x^{2}-12x+1
(\partial)/(\partial x)(ln(3x-2y))	\frac{\partial\:}{\partial\:x}(\ln(3x-2y))
integral of cos(3-5x)	\int\:\cos(3-5x)dx
derivative of x*e^y	\frac{d}{dx}(x\cdot\:e^{y})
integral of ((x+2))/(x^2+4)	\int\:\frac{(x+2)}{x^{2}+4}dx
-4x^2y+y^'=-10x^2	-4x^{2}y+y^{\prime\:}=-10x^{2}
integral of (10x)/(x^2-2x-24)	\int\:\frac{10x}{x^{2}-2x-24}dx
f(x)=(e^x)/x	f(x)=\frac{e^{x}}{x}
derivative of 8t	derivative\:8t
(d^2)/(dx^2)(sqrt(x+7))	\frac{d^{2}}{dx^{2}}(\sqrt{x+7})
integral of x^2(x^3+1)^2	\int\:x^{2}(x^{3}+1)^{2}dx
g(x)= 5/(6x^3)	g(x)=\frac{5}{6x^{3}}
simplify x^{2-3x}x^2	simplify\:x^{2-3x}x^{2}
integral from 1 to 3 of (x^2+6)/(4x-x^2)	\int\:_{1}^{3}\frac{x^{2}+6}{4x-x^{2}}dx
integral of (4+t+t^2)/(sqrt(t))	\int\:\frac{4+t+t^{2}}{\sqrt{t}}dt
tangent of y= 1/(x-2),\at x=6	tangent\:y=\frac{1}{x-2},\at\:x=6
integral of e^5	\int\:e^{5}dx
derivative of (2x^3-4x^2*(3x^5+x^2))	\frac{d}{dx}((2x^{3}-4x^{2})\cdot\:(3x^{5}+x^{2}))
limit as x approaches i of (z+i)/(z-i)	\lim\:_{x\to\:i}(\frac{z+i}{z-i})
derivative of f(x)=-2x^2+8	derivative\:f(x)=-2x^{2}+8
integral of (ln(x)+4x)	\int\:(\ln(x)+4x)dx
integral of (x+3)sqrt(8-x)	\int\:(x+3)\sqrt{8-x}dx
derivative of 2x+5/x	derivative\:2x+\frac{5}{x}
derivative of cos(x-cos^2(x))	\frac{d}{dx}(\cos(x)-\cos^{2}(x))
derivative of sqrt(x^3+3x^2)	\frac{d}{dx}(\sqrt{x^{3}+3x^{2}})
integral from 0 to 1 of (x^e+e^x)	\int\:_{0}^{1}(x^{e}+e^{x})dx
derivative of x^{10}h(x)	derivative\:x^{10}h(x)
derivative of f(x)=sec^2(x)-1	derivative\:f(x)=\sec^{2}(x)-1
integral of-16x^2	\int\:-16x^{2}dx
integral of t^2sin(t^3)	\int\:t^{2}\sin(t^{3})dt
integral of (x-1)^{10}(x+3)^2	\int\:(x-1)^{10}(x+3)^{2}dx
integral of (2^x)/(5^x)	\int\:\frac{2^{x}}{5^{x}}dx
derivative of 3/(sin(x+cos(x)))	\frac{d}{dx}(\frac{3}{\sin(x)+\cos(x)})
integral of (x^2)/(\sqrt[3]{1+x^3)}	\int\:\frac{x^{2}}{\sqrt[3]{1+x^{3}}}dx
limit as x approaches 0 of cot(2x)	\lim\:_{x\to\:0}(\cot(2x))
integral of (x-5)sin(pix)	\int\:(x-5)\sin(πx)dx
(\partial}{\partial x}(-\frac{8x)/y)	\frac{\partial\:}{\partial\:x}(-\frac{8x}{y})
derivative of 1/(\sqrt[7]{x})	\frac{d}{dx}(\frac{1}{\sqrt[7]{x}})
limit as x approaches 2-of sqrt(2-x)-2	\lim\:_{x\to\:2-}(\sqrt{2-x}-2)
integral of (8t-3)/(t+1)	\int\:\frac{8t-3}{t+1}dt
limit as x approaches 4 of x^2+sqrt(5-x)	\lim\:_{x\to\:4}(x^{2}+\sqrt{5-x})
t^2y^{''}+3ty^'-8y=0	t^{2}y^{\prime\:\prime\:}+3ty^{\prime\:}-8y=0
(\partial)/(\partial y)(x^4+x^2y)	\frac{\partial\:}{\partial\:y}(x^{4}+x^{2}y)
derivative of (x^2+3x/6)	\frac{d}{dx}(\frac{x^{2}+3x}{6})
integral from 0 to 16 of sqrt(x)-4	\int\:_{0}^{16}\sqrt{x}-4dx
y^{''}+2y^'+10y=0,y(0)=4,y^'(0)=-2	y^{\prime\:\prime\:}+2y^{\prime\:}+10y=0,y(0)=4,y^{\prime\:}(0)=-2
(\partial)/(\partial y)(sqrt(xy))	\frac{\partial\:}{\partial\:y}(\sqrt{xy})
x^5+y^4sqrt(x^6+5)y^'=0,y(0)=0	x^{5}+y^{4}\sqrt{x^{6}+5}y^{\prime\:}=0,y(0)=0
integral of sec(2x)	\int\:\sec(2x)dx
tangent of y=2x^3-2x	tangent\:y=2x^{3}-2x
(cos^2(x))^'	(\cos^{2}(x))^{\prime\:}
slope of (-6,-4),(-4,0)	slope\:(-6,-4),(-4,0)
integral from-1 to 2 of x^2-x-2	\int\:_{-1}^{2}x^{2}-x-2dx
(\partial)/(\partial x)(xln(x))	\frac{\partial\:}{\partial\:x}(x\ln(x))
limit as n approaches infinity of sqrt(n^4+2n^3)-(n^2+n)	\lim\:_{n\to\:\infty\:}(\sqrt{n^{4}+2n^{3}}-(n^{2}+n))
derivative of (8x)/(e^x)	derivative\:\frac{8x}{e^{x}}
integral from 0 to 5 of 5x-1	\int\:_{0}^{5}5x-1dx
integral from 0 to 1 of (9x^e+2e^x)	\int\:_{0}^{1}(9x^{e}+2e^{x})dx
(dy)/(dx)=2xy^2+3x^2y^2	\frac{dy}{dx}=2xy^{2}+3x^{2}y^{2}
derivative of f(t)=(cos(t))/(t^7)	derivative\:f(t)=\frac{\cos(t)}{t^{7}}
limit as x approaches 2 of 5x-2	\lim\:_{x\to\:2}(5x-2)
derivative of xcos(y-x)	\frac{d}{dx}(x\cos(y-x))
integral of cos(4x+5)	\int\:\cos(4x+5)dx
integral of ((2x)/(x^2-36)+1/x+7)	\int\:(\frac{2x}{x^{2}-36}+\frac{1}{x}+7)dx
integral of c	\int\:c
(dy)/(dx)=-3y^{2/3}sin(x)	\frac{dy}{dx}=-3y^{\frac{2}{3}}\sin(x)
limit as x approaches-infinity of 3/x	\lim\:_{x\to\:-\infty\:}(\frac{3}{x})
derivative of 1/2 ln((x+1/(x+3)))	\frac{d}{dx}(\frac{1}{2}\ln(\frac{x+1}{x+3}))
(\partial}{\partial x}(\frac{xy^2)/z)	\frac{\partial\:}{\partial\:x}(\frac{xy^{2}}{z})
y=x^2ln(2x+1)	y=x^{2}\ln(2x+1)
integral from 1 to e of 6x^2ln(x)	\int\:_{1}^{e}6x^{2}\ln(x)dx
derivative of 1/((x+1^3(3x-1)^2))	\frac{d}{dx}(\frac{1}{(x+1)^{3}(3x-1)^{2}})
derivative of (x/2 ^4)	\frac{d}{dx}((\frac{x}{2})^{4})
derivative of y(θ)= pi/7 cos(θ)	derivative\:y(θ)=\frac{π}{7}\cos(θ)
integral of (3x+1)/(x^3-x^2+x-1)	\int\:\frac{3x+1}{x^{3}-x^{2}+x-1}dx
integral of e^xsin(y)	\int\:e^{x}\sin(y)dx
derivative of y^2-2y*cos(x)	\frac{d}{dx}(y^{2}-2y\cdot\:\cos(x))
(1+cos(t))y^'=(1+e-y)sin(t),y(0)=0	(1+\cos(t))y^{\prime\:}=(1+e-y)\sin(t),y(0)=0
derivative of (x-2)^2(x-1)	derivative\:(x-2)^{2}(x-1)
(dv)/(dt)=0.64-v/(29400)*8,v(0)=0	\frac{dv}{dt}=0.64-\frac{v}{29400}\cdot\:8,v(0)=0
laplacetransform cos(2(t+1))	laplacetransform\:\cos(2(t+1))
integral of (x^2-16x-1)/((x-1)^2(x^2+1))	\int\:\frac{x^{2}-16x-1}{(x-1)^{2}(x^{2}+1)}dx
(\partial)/(\partial z)(xy+z^2)	\frac{\partial\:}{\partial\:z}(xy+z^{2})
(\partial)/(\partial x)(x^yln(x))	\frac{\partial\:}{\partial\:x}(x^{y}\ln(x))
(\partial}{\partial L}(L^{1/2)/K ^{1/2})	\frac{\partial\:}{\partial\:L}(L^{\frac{1}{2}}{K}^{\frac{1}{2}})
(\partial)/(\partial y)(x+cos(xyz)-1)	\frac{\partial\:}{\partial\:y}(x+\cos(xyz)-1)
lcm 2x,x^{2-3}	lcm\:2x,x^{2-3}
derivative of sin(x+2/9 cot(x))	\frac{d}{dx}(\sin(x)+\frac{2}{9}\cot(x))

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